Sure! Let’s solve each problem step by step. The key idea is to
simplify each square root (if it’s a perfect square) and then
add or subtract the resulting numbers.
---
🧮 Key Perfect Squares to Remember:
- √1 = 1
- √4 = 2
- √9 = 3
- √16 = 4
- √25 = 5
- √36 = 6
- √49 = 7
- √64 = 8
- √81 = 9
- √100 = 10
- √121 = 11
- √144 = 12
- √169 = 13
- √196 = 14
- √225 = 15
- √256 = 16
- √289 = 17
- √324 = 18
- √361 = 19
- √400 = 20
- √441 = 21
- √484 = 22
- √529 = 23
- √576 = 24
- √625 = 25
- √676 = 26
- √729 = 27
- √784 = 28
- √841 = 29
- √900 = 30
- √961 = 31
---
Now let’s solve each row:
---
## 🔹 Row 1:
√121 + √196 + √16 = ?
→ 11 + 14 + 4 =
29
√121 + √144 + √36 = ?
→ 11 + 12 + 6 =
29
---
## 🔹 Row 2:
√64 - √225 - √36 = ?
→ 8 - 15 - 6 =
-13
√625 - √36 - √361 = ?
→ 25 - 6 - 19 =
0
---
## 🔹 Row 3:
√25 + √4 + √900 = ?
→ 5 + 2 + 30 =
37
√4 + √49 + √16 = ?
→ 2 + 7 + 4 =
13
---
## 🔹 Row 4:
√9 - √25 - √324 = ?
→ 3 - 5 - 18 =
-20
√9 - √64 - √441 = ?
→ 3 - 8 - 21 =
-26
---
## 🔹 Row 5:
√49 + √784 + √64 = ?
→ 7 + 28 + 8 =
43
√49 + √625 + √64 = ?
→ 7 + 25 + 8 =
40
---
## 🔹 Row 6:
√729 - √49 - √9 = ?
→ 27 - 7 - 3 =
17
√64 - √81 - √16 = ?
→ 8 - 9 - 4 =
-5
---
## 🔹 Row 7:
√144 + √36 + √16 = ?
→ 12 + 6 + 4 =
22
√144 + √169 + √4 = ?
→ 12 + 13 + 2 =
27
---
## 🔹 Row 8:
√49 - √400 - √400 = ?
→ 7 - 20 - 20 =
-33
√49 - √25 - √100 = ?
→ 7 - 5 - 10 =
-8
---
## 🔹 Row 9:
√900 - √400 - √100 = ?
→ 30 - 20 - 10 =
0
√400 - √36 - √961 = ?
→ 20 - 6 - 31 =
-17
---
## 🔹 Row 10:
√81 + √1 + √0 = ?
→ 9 + 1 + 0 =
10
√81 + √9 + √9 = ?
→ 9 + 3 + 3 =
15
---
## 🔹 Row 11:
√196 - √4 - √4 = ?
→ 14 - 2 - 2 =
10
√400 - √16 - √9 = ?
→ 20 - 4 - 3 =
13
---
## 🔹 Row 12:
√9 + √25 + √25 = ?
→ 3 + 5 + 5 =
13
√1 + √36 + √25 = ?
→ 1 + 6 + 5 =
12
---
##
✔ Final Answers (Left Column → Right Column):
| Left Side | Right Side |
|---------------------------|---------------------------|
|
29 |
29 |
|
-13 |
0 |
|
37 |
13 |
|
-20 |
-26 |
|
43 |
40 |
|
17 |
-5 |
|
22 |
27 |
|
-33 |
-8 |
|
0 |
-17 |
|
10 |
15 |
|
10 |
13 |
|
13 |
12 |
---
✔ All problems solved by simplifying square roots of perfect squares and performing basic arithmetic.
Let me know if you’d like this in a printable answer sheet format!
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting square roots worksheet.
